Stephen does not like yogurt very much, but he loves

apples. Since both make a good snack, Stephen's mom

makes a deal with Stephen. She will keep the refrigerator

stocked with 5 yogurts, 2 green apples, and 3 red apples

every day. Each day, Stephen will randomly pick a

snack. Use a tree diagram or area model to show all the

possible outcomes in the sample space. What is the

probability Stephen will not get three yogurts on three

consecutive days?

Question

Mathematics

Amiah Hendrix

24 March, 05:13

Stephen does not like yogurt very much, but he loves

apples. Since both make a good snack, Stephen's mom

makes a deal with Stephen. She will keep the refrigerator

stocked with 5 yogurts, 2 green apples, and 3 red apples

every day. Each day, Stephen will randomly pick a

snack. Use a tree diagram or area model to show all the

possible outcomes in the sample space. What is the

probability Stephen will not get three yogurts on three

consecutive days?

+2

Answers (1)

Know the Answer?

Annabel Jacobson · Answer 1

5+2+3=10 total snacks

5/10 or 1/2 are yogurts so 1/2 is the chance everyday

1/2*1/2*1/2=1/8 this is the chance Stephen gets yogurt 3 consecutive days so 1-1/8=

7/8 chance he doesn't get yogurt three consecutive days